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Finding the Third Proportional to 386,438.50 and 841,520

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Solution

The third proportional to 386,438.50 and 841,520 is: 1,832,519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,438.50 : 841,520 = 841,520 : x
  2. Step 2: Convert to fraction form
    386,438.50/841,520 = 841,520/x
  3. Step 3: Cross multiply
    386,438.50x = 841,520 × 841,520
  4. Step 4: Simplify right side
    386,438.50x = 708,155,910,400
  5. Step 5: Solve for x
    x = 708,155,910,400/386,438.50
  6. Step 6: Final answer
    x = 1,832,519.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.